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1 The number of octagon diagonals is 20. 2  The sum of all interior angle = 1080 degrees. 3  Since the sides for an regular octagon are equal, the interior angle at each vertex is = $\frac{1080}{8}$ = 135 degrees. 4  The total exterior angle is 360 degrees.
So, in a convex Decagon, the sum of angles is given by (10 - 2) Ã 180Â° = 8 Ã 180Â° = 1440Â°. In a convex Decagon, the sum of the degree measures of the exterior angles, one at each vertex, is 360Â°.